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Finding the Third Proportional to 680,209,737.75 and 1,020,137,459.63

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Solution

The third proportional to 680,209,737.75 and 1,020,137,459.63 is: 1,529,940,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,209,737.75 : 1,020,137,459.63 = 1,020,137,459.63 : x
  2. Step 2: Convert to fraction form
    680,209,737.75/1,020,137,459.63 = 1,020,137,459.63/x
  3. Step 3: Cross multiply
    680,209,737.75x = 1,020,137,459.63 × 1,020,137,459.63
  4. Step 4: Simplify right side
    680,209,737.75x = 1,040,680,436,530,148,480
  5. Step 5: Solve for x
    x = 1,040,680,436,530,148,480/680,209,737.75
  6. Step 6: Final answer
    x = 1,529,940,515.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.